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Finding the Fourth Proportional to 420,385.20, 580,126.80 and 229,401.84

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Solution

The fourth proportional to 420,385.20, 580,126.80 and 229,401.84 is: 316,571.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,385.20 : 580,126.80 = 229,401.84 : x
  2. Step 2: Convert to fraction form
    420,385.20/580,126.80 = 229,401.84/x
  3. Step 3: Cross multiply
    420,385.20x = 580,126.80 × 229,401.84
  4. Step 4: Simplify right side
    420,385.20x = 133,082,155,353.31
  5. Step 5: Solve for x
    x = 133,082,155,353.31/420,385.20
  6. Step 6: Final answer
    x = 316,571.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.